Determine the volume of the following spheres with the given dimensions. To bthe code find the mean of all your answers. Round your answersto the hundreplace. Use 3.14 for an approximation for pi.1)3).3 ст18 in2)4)42 in1 ft.Code:

Volume of sphere=43πr3 1. We have radius 3 cm Then, volume V=43×3.14×33=4×3.14×32=113.04 cm3 2. We…

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Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Determine the volume of the following spheres with the given dimensions. To b
the code find the mean of all your answers. Round your answersto the hundre
place. Use 3.14 for an approximation for pi.
1)
3).
3 ст
18 in
2)
4)
42 in
1 ft.
Code:

Expert Solution

Step 1

Volume of sphere $= \frac{4}{3} {πr}^{3}$

We have radius $3 cm$

Then, volume

$\begin{array}{rcl} V & = & \frac{4}{3} \times (3.14) \times {(3)}^{3} \\ = & 4 \times 3.14 \times 3^{2} \\ = & 113.04 {cm}^{3} \end{array}$

We have radius $42 inch=106.68 cm$

Therefore, volume

$\begin{array}{rcl} V & = & \frac{4}{3} \times 3.14 \times {(106.68)}^{3} \\ = & 4 \times 3.14 \times 35.56 \times {(106.68)}^{2} \\ = & 5082968.35 {cm}^{3} \end{array}$ .

We have radius $18 in=45.72 cm$

Therefore, volume

$\begin{array}{rcl} V & = & \frac{4}{3} {×π×r}^{3} \\ = & \frac{4}{3} \times 3.14 \times {(45.72)}^{3} \\ = & 4 \times 3.14 \times 15.24 \times {(45.72)}^{2} \\ = & 12.56 \times 15.24 \times {(45.72)}^{2} \\ = & 400117.04 {cm}^{3} \end{array}$

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